Invexidade Generalizada e Soluções Fracamente Eficientes de Problemas de Otimização Vetorial entre Espaços de Banach
DOI:
https://doi.org/10.5540/tema.2004.05.02.0327Abstract
Neste trabalho, introduzimos a noção de ponto crítico vetorial e de ponto crítico de Kuhn-Tucker para uma certa classe de problemas de otimização vetorial entre espaços de Banach. Através destas noções, obtivemos uma caracterização para as soluções fracamente eficiente de tais problemas.References
[1] A. Avez, “Calcul Differentiel”, Mason, Paris, 1983.
B.D. Craven, Lagrangean Conditions and Quasiduality, Bull. Austral. Math. Soc., 16 (1977), 325-339.
B.D. Craven, “Mathematical Programming and Control Theory”, Chapman and Hall: London, 1978.
B.D. Craven, “Control and Optimization”, Chapman and Hall, 1995.
R.R. Egudo, M.A. Hanson, Duality with generalized convexity, J. Austral. Math. Soc. Ser. B, 28 (1986), 10-21.
M.A. Hanson, On Sufficiency of Kuhn- Tucker Conditions, J. Math. Anal. and Appl., 30 (1981), 545-550.
V. Jeyakumar, Strong and weak invexity in Mathematical Programming, Collection: Methods of Operations Research, 55 (1980), 109-125.
D. The Luc, “Theory of Vector Optimization”, Lect. Notes in Economics and Mathematical Systems, 319, Berlin, Springer-Verlag (1989).
O.L. Mangasarian, “Nonlinear Programming”, Mac Graw-Hill: New York, 1969.
D.H. Martin, The Essence of Invexity, J. Optim. Theory Appl., 47 (1985), 65-76.
V. Preda, On duality with generalized convexity, Boll. Un. Mat. Ital. A (7), 5 (1991), 291-305.
R. Osuna-Gómez, A. Rufián-Lizana and P. Ruiz-Canales, Invex Functions and Generalized Convexity in Multiobjective Programming, J. of Optim. Theory Appl., 98 (1998), 651-661.
R. Osuna-Gómez, “Programción con Objetivos Múltiples: Dualidad”, Tese de Doutorado, Universidad de Sevilla, Espa˜na, Sevilla, Espanha, 1996.
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